Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q62
If (√ 3 +i)^100=2^99( p +i q ), then p and q are roots of the equation:
If $\displaystyle (\sqrt{3}+i)^{100}=2^{99}(\mathrm{p}+i \mathrm{q})$, then p and q are roots of the equation :
Official answer
(2)
$\displaystyle x^2-(\sqrt{3}-1) x-\sqrt{3}=0$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.